To determine if the point (-2, 6) is a solution to the system of equations, we substitute x = -2 and y = 6 into both equations and check if they hold true.
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For the first equation: \( x + 2y = 10 \) \[ -2 + 2(6) = -2 + 12 = 10 \] This is true.
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For the second equation: \( 3x + y = 0 \) \[ 3(-2) + 6 = -6 + 6 = 0 \] This is also true.
Since both equations are satisfied by the point (-2, 6), we conclude that this point is indeed a solution to the system of equations.
Therefore, the correct answer is:
Yes, because the graphs intersect at (-2, 6).
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